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Finding the Fourth Proportional to 56,303.84, 77,698.62 and 30,809.93

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Solution

The fourth proportional to 56,303.84, 77,698.62 and 30,809.93 is: 42,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,303.84 : 77,698.62 = 30,809.93 : x
  2. Step 2: Convert to fraction form
    56,303.84/77,698.62 = 30,809.93/x
  3. Step 3: Cross multiply
    56,303.84x = 77,698.62 × 30,809.93
  4. Step 4: Simplify right side
    56,303.84x = 2,393,888,654.80
  5. Step 5: Solve for x
    x = 2,393,888,654.80/56,303.84
  6. Step 6: Final answer
    x = 42,517.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.